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Wind Energy Science The interactive open-access journal of the European Academy of Wind Energy
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https://doi.org/10.5194/wes-2018-59
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-2018-59
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

  10 Sep 2018

10 Sep 2018

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This preprint was under review for the journal WES but the revision was not accepted.

A simple improvement of a tip loss model for actuator disc and actuator line simulations

Georg Raimund Pirrung and Maarten Paul van der Laan Georg Raimund Pirrung and Maarten Paul van der Laan
  • Wind Energy Department, Technical University of Denmark, Frederiksborgvej 399, 4000 Roskilde, Denmark

Abstract. The loading of a wind turbine decreases towards the blade tip due to the velocities induced by the tip vortex and due to the spanwise flow. This tip loss effect has to be taken into account when performing actuator disc simulations, where the single blades of the turbine are not modeled, and when performing actuator line simulations, where the resolution typically is not fine enough to properly resolve the tip vortex. A widely used method applies a factor on the axial and tangential loading of the turbine. This factor decreases when approaching the blade tip. It has been shown that the factor should be different for the axial and tangential loading of the turbine due to the rotation of the resulting force vector at the airfoil sections caused by the induced velocity. The present article contains the derivation of a simple correction for the tangential load factor that takes this rotation into account. The correction does not need any additional curve fitting but just depends on the local airfoil characteristics and angle of attack.

Georg Raimund Pirrung and Maarten Paul van der Laan

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Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Georg Raimund Pirrung and Maarten Paul van der Laan

Georg Raimund Pirrung and Maarten Paul van der Laan

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Short summary
Wind turbine loading decreases towards the blade tip due to the velocities induced by the tip vortex and the spanwise flow. It has been shown that the tip loss factor applied on the aerodynamic forces should be different for the axial and tangential loading of the turbine due to the rotation of the resulting force vector caused by the induced velocity. The present article contains the derivation of a simple correction for the tangential load factor that takes this rotation into account.
Wind turbine loading decreases towards the blade tip due to the velocities induced by the tip...
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